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Effects of velocity-slip and viscosity variation on journal bearings

Published online by Cambridge University Press:  17 February 2009

R. Raghavendra Rao  and
K. R. Prasad
R. Raghavendra Rao
Affiliation:
Department of Mathematics, S.V. University College of Engineering, Tirupati 517502, India; e-mail: [email protected].
K. R. Prasad
Affiliation:
Department of Mathematics, S.V. University College of Engineering, Tirupati 517502, India; e-mail: [email protected].
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Abstract

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A generalised form of the Reynolds equation for two symmetrical surfaces is derived by considering slip at the bearing surfaces. This equation is then used to study the effects of velocity-slip for the lubrication of journal bearings using half-Sommerfeld boundary conditions. Expressions for pressure and load capacity and the coefficient of friction are obtained and numerically analysed for various parameters. It is found that the load capacity decreases with slip. This is unfavourable for lubrication. The coefficient of friction decreases with a high viscous layer and increases with slip.

Type
Research Article
Information
The ANZIAM Journal , Volume 46 , Issue 1 , July 2004 , pp. 143 - 155
Copyright
Copyright © Australian Mathematical Society 2004

References

[1]Allen, S. J. and Kline, K. A., “Lubrication theory for micropolar fluids”, J. Appl. Mech. 38 (1971) 621–646.CrossRefGoogle Scholar
[2]Askwith, T. C., Cameron, A. and Crouch, R. F., “Chain length of additives in relation to lubrication in thin film and boundary lubrication”, Proc. Roy. Soc. London, Ser A. 291 (1969) 500–519.Google Scholar
[3]Beavers, G. S. and Joseph, D. D., “Boundary condition at a naturally permeable wall”, J. Fluid Mech. 30 (1967) 197–207.CrossRefGoogle Scholar
[4]Beavers, G. S., Sparrow, E. M. and Magnuson, R. A., “Experiments on coupled parallel flows in a channel and a boundary porous medium”, J. Basic Eng. 92D (1970) 843–848.CrossRefGoogle Scholar
[5]Beavers, G. S., Sparrow, E. M. and Masha, B. A., “Boundary condition at a porous surface which bounds a fluid flow”, AIChE J. 20 (1974) 596–597.CrossRefGoogle Scholar
[6]Bowden, F. B. and Tabor, D., Friction and lubrication of solids (Oxford Univ. Press: Clarendon Press, Oxford, 1964).Google Scholar
[7]Cameron, A. and Wood, W. L., “The full journal bearing”, Proc. Inst. Mech. Engrs. 161 (1949) 59–64.CrossRefGoogle Scholar
[8]Davenport, T. C., The rheology of lubricants (Wiley, New York, 1973) 19, 100.Google Scholar
[9]Fein, R. S. and Kreuz, K. L., “Lubrication and wear”, Lubrication 21 (1966) 1–20.Google Scholar
[10]Grad, H., “On the kinetic theory of rarefied gases”, Commun. Pure Appl. Math., New York Univ. 2 (1949) 331–407.Google Scholar
[11]Gross, W. A., Gas film lubrication (Wiley, New York, 1962).Google Scholar
[12]Isa, M., “Contribution to recent frontiers in tribology”, Ph.D. Thesis, Indian Inst. Technol., Kanpur, 1974.Google Scholar
[13]Isa, M. and Zaheeruddin, K., “Hydrostatic step seal and externally pressurised conical step bearing with micropolar lubricant”, Jpn. J. Appl. Phys. 16 (1977) 1577–1585.CrossRefGoogle Scholar
[14]Kennard, E. H., Kinetic theory of gases (McGraw Hill, New York, 1938).Google Scholar
[15]Khader, M. S. and Vanchon, R. I., “Theoretical effects of solid particles in hydrodynamic bearing lubricant”, J. Lubr. Technol. 95 (1973) 104–106.CrossRefGoogle Scholar
[16]Pinkus, O. and Sternlicht, B., Theory of hydrodynamic lubrication (McGraw-Hill, New York, 1961) Ch. 3.Google Scholar
[17]Pinkusm, O., “Solution of Reynolds equation for finite journal bearings”, Trans. ASME 80 (1958) 858–864.Google Scholar
[18]Prakash, J. and Sinha, P., “Lubrication theory for micro polar fluids and its application to a journal bearing”, Int. J. Eng. Sci. 13 (1975) 217–223.CrossRefGoogle Scholar
[19]Prakash, J. and Sinha, P., “Squeeze film theory for micropolar fluids”, J. Lubr Technol. 98 (1976) 139–147.Google Scholar
[20]Prakash, J. and Sinha, P., “Cyclic squeeze films in micropolar fluid lubricated journal bearings”, J. Lubr. Technol. 98 (1976) 412–418.CrossRefGoogle Scholar
[21]Prakash, J. and Sinha, P., “A study of squeezing flow in micropolar fluid lubricated journal bearings”, Wear 38 (1976) 17–23.CrossRefGoogle Scholar
[22]Prakash, J. and Sinha, P., “Theoretical effects of solid particles on the lubrication of journal bearings considering cavitation”, Wear 41 (1977) 233–241.CrossRefGoogle Scholar
[23]Quale, E. B. and Wiltshire, F. R., “The performance of hydrodynamic lubricating films with viscosity variation perpendicular to the direction of motion”, J. Lubr. Technol. 94 F (1972) 44–48.Google Scholar
[24]Richardson, S., “A model for the boundary condition of a porous material, Part 2”, J. Fluid Mech. 49 (1971) 327–336.CrossRefGoogle Scholar
[25]Saffman, P. G., “On the boundary condition at the surface of a porous medium”, Stud. Appl. Math. 50 (1971) 93–101.CrossRefGoogle Scholar
[26]Shukla, J. B., “Effects of additives and impurities in lubrication”, in Proc. World Conf. On Industrial Tribology, Delhi, December 1972, (Indian Society for Industrial Tribology, Delhi, 1972).Google Scholar
[27]Shukla, J. B. and Isa, M., “Externally pressurized optimum bearing with micropolar fluid as lubricant”, J. Appl. Phys. 14 (1975) 275–283.CrossRefGoogle Scholar
[28]Shukla, J. B., Kumar, S. and Chandra, P., “Generalized Reynolds equation with slip at bearing surfaces: multiple-layer lubrication theory”, Wear 60 (1980) 253–268.CrossRefGoogle Scholar
[29]Sinha, P., “Dynamically loaded micropolar fluid lubricated journal bearings with special reference to squeeze films under fluctuating loads”, Wear 16(1977) 279–285.CrossRefGoogle Scholar
[30]Sinha, P., “Effects of rigid particles in the lubrication of rolling contact bearings considering cavitation”, Wear 44(1977)295–301.CrossRefGoogle Scholar
[31]Sinha, P., Singh, C. and Prasad, K. R., “Effects of viscosity variation due to lubricant additives in journal bearings”, Wear 66 (1981) 175–188.CrossRefGoogle Scholar
[32]Tandon, P. N. and S. Jaggi, “Lubrication of porous solids in reference to human joints”, Proc. Indian Acad. Soc. 85 (1977) 144–152.CrossRefGoogle Scholar
[33]Taylor, G. I., “A. model for the boundary condition of a porous material, Part 1”, J. Fluid Mech. 49 (1971) 319–326.CrossRefGoogle Scholar
[34]Zaheeruddin, K. and Isa, M., “Micropolar fluid lubrication of one-dimensional journal bearing”, Wear 50(1978)211–219.CrossRefGoogle Scholar
[35]Zaheeruddin, K. and Isa, M., “Characteristics of a micropolar lubricant in a squeeze film porous spherical bearing”, Wear 51 (1978) 1–11.Google Scholar